qd-Type Methods for Quasiseparable Matrices

Roberto Bevilacqua; Enrico Bozzo; Gianna M. Del Corso

doi:10.1137/100794481

qd-Type Methods for Quasiseparable Matrices

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/100794481 ◽

2011 ◽

Vol 32 (3) ◽

pp. 722-747 ◽

Cited By ~ 11

Author(s):

Roberto Bevilacqua ◽

Enrico Bozzo ◽

Gianna M. Del Corso

Keyword(s):

Quasiseparable Matrices

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On the sensitivity of generators for the QR factorization of quasiseparable matrices with total nonpositivity

Numerical Algorithms ◽

10.1007/s11075-017-0345-6 ◽

2017 ◽

Vol 77 (3) ◽

pp. 905-924

Author(s):

Rong Huang

Keyword(s):

Qr Factorization ◽

Quasiseparable Matrices

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Classifications of Recurrence Relations via Subclasses of (H, m)-quasiseparable Matrices

Lecture Notes in Electrical Engineering - Numerical Linear Algebra in Signals, Systems and Control ◽

10.1007/978-94-007-0602-6_2 ◽

2011 ◽

pp. 23-53 ◽

Cited By ~ 4

Author(s):

T. Bella ◽

V. Olshevsky ◽

P. Zhlobich

Keyword(s):

Recurrence Relations ◽

Quasiseparable Matrices

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Structured eigenvalue condition numbers for parameterized quasiseparable matrices

Numerische Mathematik ◽

10.1007/s00211-015-0779-5 ◽

2015 ◽

Vol 134 (3) ◽

pp. 473-512 ◽

Cited By ~ 6

Author(s):

Froilán M. Dopico ◽

Kenet Pomés

Keyword(s):

Condition Numbers ◽

Quasiseparable Matrices ◽

Eigenvalue Condition

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The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order

Linear Algebra and its Applications ◽

10.1016/j.laa.2005.02.037 ◽

2005 ◽

Vol 404 ◽

pp. 305-324 ◽

Cited By ~ 37

Author(s):

Yuli Eidelman ◽

Israel Gohberg ◽

Vadim Olshevsky

Keyword(s):

Iteration Method ◽

Arbitrary Order ◽

Quasiseparable Matrices

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Out-of-band quasiseparable matrices

Linear Algebra and its Applications ◽

10.1016/j.laa.2008.02.026 ◽

2008 ◽

Vol 429 (1) ◽

pp. 266-289 ◽

Cited By ~ 3

Author(s):

Y. Eidelman ◽

I. Gohberg

Keyword(s):

Quasiseparable Matrices

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Fast Inversion of Polynomial-Vandermonde Matrices for Polynomial Systems Related to Order One Quasiseparable Matrices

Advances in Structured Operator Theory and Related Areas - Operator Theory: Advances and Applications ◽

10.1007/978-3-0348-0639-8_8 ◽

2013 ◽

pp. 79-106 ◽

Cited By ~ 2

Author(s):

T. Bella ◽

Y. Eidelman ◽

I. GohbergZ”L ◽

V. Olshevsky ◽

E. Tyrtyshnikov

Keyword(s):

Polynomial Systems ◽

Vandermonde Matrices ◽

Quasiseparable Matrices ◽

Fast Inversion

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Nested Product Decomposition of Quasiseparable Matrices

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/12086354x ◽

2013 ◽

Vol 34 (4) ◽

pp. 1520-1555 ◽

Cited By ~ 8

Author(s):

Tom Bella ◽

Vadim Olshevsky ◽

Michael Stewart

Keyword(s):

Product Decomposition ◽

Quasiseparable Matrices

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Time and space efficient generators for quasiseparable matrices

Journal of Symbolic Computation ◽

10.1016/j.jsc.2017.07.010 ◽

2018 ◽

Vol 85 ◽

pp. 224-246 ◽

Cited By ~ 1

Author(s):

Clément Pernet ◽

Arne Storjohann

Keyword(s):

Time And Space ◽

Quasiseparable Matrices

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Representation of quasiseparable matrices using excluded sums and equivalent charges

Linear Algebra and its Applications ◽

10.1016/j.laa.2011.07.041 ◽

2012 ◽

Vol 436 (3) ◽

pp. 699-708 ◽

Cited By ~ 1

Author(s):

I.V. Oseledets ◽

A.Yu. Mikhalev

Keyword(s):

Quasiseparable Matrices

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Divide and Conquer Method for Eigenstructure of Quasiseparable Matrices Using Zeroes of Rational Matrix Functions

A Panorama of Modern Operator Theory and Related Topics ◽

10.1007/978-3-0348-0221-5_12 ◽

2012 ◽

pp. 299-328

Author(s):

Y. Eidelman ◽

I. Haimovici

Keyword(s):

Divide And Conquer ◽

Matrix Functions ◽

Rational Matrix ◽

Quasiseparable Matrices

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